Answer:
$7.47
Step-by-step explanation:
Take the number of pounds and multiply by the price per pound
3 * 2.49
7.47 for 3 pounds of apples
Answer:
Step-by-step explanation:
a)
![\int\limits^2_1 {\frac{1}{x(lnx)^p} } \, dx](https://tex.z-dn.net/?f=%5Cint%5Climits%5E2_1%20%7B%5Cfrac%7B1%7D%7Bx%28lnx%29%5Ep%7D%20%7D%20%5C%2C%20dx)
this can be done by substitute lnx = u
dx/x = du
When x =1, u =0 and when x =2, u = ln 2
So integral = ![\int\limits^{ln2} _0 {du/u^p} \\\=\frac{u^{-p+1} }{-p+1}](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7Bln2%7D%20_0%20%7Bdu%2Fu%5Ep%7D%20%5C%5C%5C%3D%5Cfrac%7Bu%5E%7B-p%2B1%7D%20%7D%7B-p%2B1%7D)
We find that this integral value is not definid for p =1
Hence for values of p other than 1, this converges.
When we substitute limits
![\frac{1}{1-p} ((ln2)^{1-p} -1)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B1-p%7D%20%28%28ln2%29%5E%7B1-p%7D%20-1%29)
and converges for p ≠1
b) ![\int\limits^1_0 {lnx}/x^p \, dx \\\int \frac{\ln \left(x\right)}{x^p}dx=\frac{1}{-p+1}x^{-p+1}\ln \left(x\right)-\frac{x^{-p+1}}{\left(-p+1\right)^2}+C](https://tex.z-dn.net/?f=%5Cint%5Climits%5E1_0%20%7Blnx%7D%2Fx%5Ep%20%5C%2C%20dx%20%5C%5C%5Cint%20%5Cfrac%7B%5Cln%20%5Cleft%28x%5Cright%29%7D%7Bx%5Ep%7Ddx%3D%5Cfrac%7B1%7D%7B-p%2B1%7Dx%5E%7B-p%2B1%7D%5Cln%20%5Cleft%28x%5Cright%29-%5Cfrac%7Bx%5E%7B-p%2B1%7D%7D%7B%5Cleft%28-p%2B1%5Cright%29%5E2%7D%2BC)
So not converging for p =1
But ln x is defined only for x >0
So integral 0 to 1 makes this integral not valid and hence not convergent.
Answer: n > 2.5 or n < -2.5
Step-by-step explanation:
Let's solve your inequality step-by-step.
1. Solve Absolute Value.
|n| > 2.5
We know either n > 2.5 or n < -2.5
n > 2.5 (Possibility 1)
n < -2.5 (Possibility 2)
Your answer is n > 2.5 or n < -2.5
In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation.
Hope this helps!
Answer:
x = 21
Step-by-step explanation:
x- 12 = 9
Add 12 to each side
x- 12+12 = 9+12
x = 21